On the solution sets to differential inclusions on an unbounded interval

On The Solution Sets Of Semicontinuous Quantum Stochastic Differential Inclusions∗

The aim of this paper is to provide a unified treatment of the existence of solution of both upper and lower semicontinuous quantum stochastic differential inclusions. The quantum stochastic differential inclusion is driven by operatorvalued stochastic processes lying in certain metrizable locally convex space. The unification of solution sets to these two discontinuous non-commutative stochast...

On Unbounded Tolerable Solution Sets

We prove that the nonempty tolerable solution set of the interval linear system Ax = b is unbounded if and only if the interval matrix of the system has linearly dependent degenerate columns. Also, we prove that the tolerable solution set may be represented as a sum of the linear subspace {c  R | Ac = 0} and a bounded convex polyhedron and propose a way for suitable estimation of unbounded tol...

Numerical solution of Fredholm integral-differential equations on unbounded domain

In this study, a new and efficient approach is presented for numerical solution of Fredholm integro-differential equations (FIDEs) of the second kind on unbounded domain with degenerate kernel based on operational matrices with respect to generalized Laguerre polynomials(GLPs). Properties of these polynomials and operational matrices of integration, differentiation are introduced and are ultili...

Improving the Solution of Fuzzy Differential Inclusions

Optimal Control of Unbounded Differential Inclusions

We consider a Mayer problem of optimal control, whose dynamic constraint is given by a convex-valued differential inclusion. Both state and endpoint constraints are involved. We prove necessary conditions incorporating the Hamiltonian inclusion, the Euler-Lagrange inclusion, and the WeierstrassPontryagin maximum condition. Our results weaken the hypotheses and strengthen the conclusions of earl...